mosolov_residue.cc
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#include "rheolef.h"
using namespace std;
using namespace rheolef;
#include "vector_projection.h"
int main(int argc, char**argv) {
environment rheolef(argc,argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-12;
Float Bi, n, r;
field uh, sigma_h;
din >> catchmark("Bi") >> Bi
>> catchmark("n") >> n
>> catchmark("r") >> r
>> catchmark("sigma") >> sigma_h
>> catchmark("u") >> uh;
space Th = sigma_h.get_space();
space Xh = uh.get_space();
trial u (Xh), sigma (Th);
test v (Xh), tau (Th);
form m = integrate(u*v);
form a = integrate(dot(grad(u),grad(v)));
form b = integrate(dot(grad(u),tau));
form mt = integrate(dot(sigma,tau));
integrate_option iopt;
iopt.invert = true;
form inv_mt = integrate(dot(sigma,tau), iopt);
field lh = integrate(2*v);
field grad_uh = inv_mt*(b*uh);
auto c = compose (vector_projection(Bi,n), norm(sigma_h));
field r_sigma_h = interpolate(Th, grad_uh - c*sigma_h);
field mr_uh = lh - b.trans_mult(sigma_h-r*grad_uh) - r*(a*uh);
mr_uh["boundary"] = 0;
field r_uh (Xh);
problem pm (m);
pm.solve (mr_uh, r_uh);
Float residue_uh = sqrt(m(r_uh,r_uh));
Float residue_sigma_h = sqrt(mt(r_sigma_h,r_sigma_h));
derr << "norm_linf residue(uh) = " << r_uh.max_abs() << endl
<< "norm_l2 residue(uh) = " << residue_uh << endl
<< "norm_linf residue(sigma_h) = " << r_sigma_h.max_abs() << endl
<< "norm_l2 residue(sigma_h) = " << residue_sigma_h << endl;
Float residue = max(residue_uh, residue_sigma_h);
return (residue <= tol) ? 0 : 1;
}
lh
field lh(Float epsilon, Float t, const test &v)
Definition: burgers_diffusion_operators.icc:25
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
problem
see the problem page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::std
Definition: vec_expr_v2.h:402
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
main
int main(int argc, char **argv)
Definition: mosolov_residue.cc:29
mkgeo_ball.b
int b
Definition: mkgeo_ball.sh:152
mkgeo_ball.c
int c
Definition: mkgeo_ball.sh:153
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef::details::compose
class rheolef::details::field_expr_v2_nonlinear_node_unary compose
rheolef::details::dot
rheolef::details::is_vec dot
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::norm
T norm(const vec< T, M > &x)
norm(x): see the expression page for the full documentation
Definition: vec.h:387
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::din
idiststream din(cin)
see the diststream page for the full documentation
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
residue
field residue(Float p, const field &uh)
Definition: p_laplacian_post.cc:35
rheolef.h
rheolef - reference manual
a
Definition: diffusion_isotropic.h:25
sigma
Definition: mosolov_exact_circle.h:40
u
Definition: leveque.h:25
vector_projection
Definition: vector_projection.h:26
u
Float u(const point &x)
Definition: transmission_error.cc:26
vector_projection.h
The projection for yield-stress rheologies – vector-valued case for the Mossolov problem.